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Table 1 q-Gradient of Example 5.1

From: A q-Polak–Ribière–Polyak conjugate gradient algorithm for unconstrained optimization problems

k \(q^{k}\) \(x=(2.88, 1.82)^{T}\)
f(x) \(f(q^{k}x)\) \(g_{q^{k}}(1)\) \(g_{q^{k}}(2)\)
1 \((0.32, 0.32)^{T}\) 0.430480518 1.076549247 −0.74986965 −0.52203356
2 \((0.92, 0.92)^{T}\) 0.430480518 0.542260247 −0.39724386 −0.76771792
3 \((0.905955556, 0.905955556)^{T}\) 0.430480518 0.565980670 −0.39444591 −0.79165371
4 \((0.953527001, 0.953527001)^{T}\) 0.430480518 0.490652335 −0.40526797 −0.71141177
5 \((0.966933215, 0.966933215)^{T}\) 0.430480518 0.471966971 −0.40833281 −0.68935502
6 \((0.976520984, 0.976520984)^{T}\) 0.430480518 0.459272296 −0.41026389 −0.67377859
7 \((0.982303255, 0.982303255)^{T}\) 0.430480518 0.451881863 −0.41128298 −0.66447140
8 \((0.986210799, 0.986210799)^{T}\) 0.430480518 0.446999451 −0.41189872 −0.65822064
9 \((0.988952271, 0.988952271)^{T}\) 0.430480518 0.443627482 −0.41229233 −0.65385448
10 \((0.990951471, 0.990951471)^{T}\) 0.430480518 0.441196138 −0.41255827 −0.65068070
11 \(( 0.990951471, 0.992453623)^{T}\) 0.430480518 0.439384557 −0.41274593 −0.64830175
12 \((0.993610749, 0.993610749)^{T}\) 0.430480518 0.437997983 −0.41288317 −0.64647262
13 \((0.994520907, 0.994520907)^{T}\) 0.430480518 0.436912784 −0.41298657 −0.64503597
14 \((0.995249658, 0.995249658)^{T}\) 0.430480518 0.436047321 −0.41306642 −0.64388700
15 \((0.995842177, 0.995842177)^{T}\) 0.430480518 0.435345901 −0.41312939 −0.64295371
16 \((0.996330408, 0.996330408)^{T}\) 0.430480518 0.434769453 −0.41317996 −0.64218527
17 \((0.996737456, 0.996737456)^{T}\) 0.430480518 0.434289902 −0.41322119 −0.64154502
18 \((0.997080367, 0.997080367)^{T}\) 0.430480518 0.433886651 −0.41325527 −0.64100595
19 \((0.997371937, 0.997371937)^{T}\) 0.430480518 0.433544306 −0.41328378 −0.64054780
20 \((0.997621924, 0.997621924)^{T}\) 0.430480518 0.433251172 −0.41330787 −0.64015514
21 \((0.997837873, 0.997837873)^{T}\) 0.430480518 0.432998239 −0.41332843 −0.63981606
22 \((0.998025695 ,0.998025695)^{T}\) 0.430480518 0.432778468 −0.41334611 −0.63952123
23 \(( 0.998190068, 0.998190068)^{T}\) 0.430480518 0.432586299 −0.41336143 −0.63926328
24 \((0.998334740, 0.998334740)^{T}\) 0.430480518 0.432417292 −0.41337480 −0.63903629
25 \((0.998462736 , 0.998462736)^{T}\) 0.430480518 0.432267864 −0.41338653 −0.63883551
26 \((0.998576525 , 0.998576525)^{T}\) 0.430480518 0.432135102 −0.41339690 −0.63865705
27 \(( 0.998678133,0.998678133 )^{T}\) 0.430480518 0.432016614 −0.41340609 −0.63849771
28 \((0.998769240, 0.998769240)^{T}\) 0.430480518 0.431910422 −0.41341429 −0.63835486
29 \((0.998851242, 0.998851242)^{T}\) 0.430480518 0.431814882 −0.41342163 −0.63822631
30 \((0.998925315, 0.998925315)^{T}\) 0.430480518 0.431728614 −0.41342823 −0.63811020
31 \((0.998992449, 0.998992449)^{T}\) 0.430480518 0.431650455 −0.41343419 −0.63800497
32 \((0.999053483, 0.999053483)^{T}\) 0.430480518 0.431579419 −0.41343959 −0.63790932
33 \((0.999109135, 0.999109135)^{T}\) 0.430480518 0.431514666 −0.41344449 −0.63782211
34 \((0.999160020, 0.999160020)^{T}\) 0.430480518 0.431455475 −0.41344896 −0.63774237
35 \((0.999206667, 0.999206667)^{T}\) 0.430480518 0.431401227 −0.41345305 −0.63766929
36 \((0.999249534, 0.999249534)^{T}\) 0.430480518 0.431351386 −0.41345679 −0.63760212
37 \((0.999289018, 0.999289018)^{T}\) 0.430480518 0.431305487 −0.41346023 −0.63754027
38 \((0.999325466, 0.999325466)^{T}\) 0.430480518 0.431263125 −0.41346340 −0.63748317
39 \((0.999359181, 0.999359181)^{T}\) 0.430480518 0.431223946 −0.41346633 −0.63743035
40 \((0.999390431, 0.999390431)^{T}\) 0.430480518 0.431187638 −0.41346903 −0.63738140
41 \((0.999419450, 0.999419450)^{T}\) 0.430480518 0.431153928 −0.41347154 −0.63733595
42 \((0.999446445, 0.999446445)^{T}\) 0.430480518 0.431122572 −0.41347387 −0.63729367
43 \((0.999471599 ,0.999471599)^{T}\) 0.430480518 0.431093358 −0.41347603 −0.63725427
44 \((0.999495078, 0.999495078)^{T}\) 0.430480518 0.431066094 −0.41347805 −0.63721750
45 \((0.999517026, 0.999517026)^{T}\) 0.430480518 0.431040610 −0.41347994 −0.63718313
46 \((0.999537573, 0.999537573)^{T}\) 0.430480518 0.431016755 −0.41348170 −0.63715095
47 \(( 0.999556836, 0.999556836)^{T}\) 0.430480518 0.430994392 −0.41348335 −0.63712078
48 \(( 0.999574921, 0.999574921)^{T}\) 0.430480518 0.430973400 −0.41348490 −0.63709246
49 \((0.999591921 , 0.999591921)^{T}\) 0.430480518 0.430953669 −0.41348635 −0.63706584
50 \((0.999607921, 0.999607921)^{T}\) 0.430480518 0.430935100 −0.41348771 −0.63704079
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